b) Roots of a quadratic equation
Aim: To write a java program that display the roots of a quadratic equation ax2+bx=0. Calculate the discriminate D and basing on value of D, describe the nature of root.
Description:
Program:
class quadraticdemo
{
public static void main(String[] args)
{
int a, b, c;
double r1, r2, D;
Scanner s = new Scanner(System.in);
System.out.println("Given quadratic equation:ax^2 + bx + c");
System.out.print("Enter a:");
a = s.nextInt();
System.out.print("Enter b:");
b = s.nextInt();
System.out.print("Enter c:");
c = s.nextInt();
D = b * b - 4 * a * c;
if(D > 0)
{
System.out.println("Roots are real and unequal");
r1 = ( - b + Math.sqrt(D))/(2*a);
r2 = (-b - Math.sqrt(D))/(2*a);
System.out.println("First root is:"+r1);
System.out.println("Second root is:"+r2);
}
else if(D == 0)
{
System.out.println("Roots are real and equal");
r1 = (-b+Math.sqrt(D))/(2*a);
System.out.println("Root:"+r1);
}
else
{
System.out.println("Roots are imaginary");
}
}
}
Output:
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